APR to APY Calculator
Convert an APR to an APY for any compounding frequency, or an APY back to an APR.
Change the values and press Calculate to work out your own figures.
APR to APY
Enter the APR and compounding.
Show the working
- APY = (1 + r ÷ n)^n − 1
APY to APR
Enter the APY and compounding.
Show the working
- APR = n × ((1 + APY)^(1/n) − 1)
How to use it
Enter the APR and compounding. Enter the APY and compounding.
Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.
Key facts
APY = (1 + APR ÷ m)^m − 1; APR = m × ((1 + APY)^(1/m) − 1); continuous: APY = e^APR − 1
Questions
What APY is a 12.7% APR compounded quarterly?
13.3177%.
Formulas
APY = (1 + APR ÷ m)^m − 1; APR = m × ((1 + APY)^(1/m) − 1); continuous: APY = e^APR − 1
Sources
Limitations
- Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
- Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.